B. Tsirelson
| Publications
| research
|
- 1973 B.S. Tsirel'son,
"The partially ordered square of a normed space" (Russian).
Optimizacija (Novosibirsk, USSR) 12 (29), 122-126.
[MR54#887]
- 1974 B.S. Tsirel'son,
"A sum of periodic functions and some series with small gaps."
(Russian) Zapiski LOMI 39, 198-199.
[MR50#10671]
(English) 1977 Journal of Soviet Mathematics 8:1, 150-151.
- 1974 B.S. Cirel'son,
"On the sum of periodic functions and an extension operator
continuous in measure."
(Russian) Dokl. Akad. Nauk SSSR 216:5, 1001-1003.
[MR50#7933]
(English) 1974 Soviet Mathematics - Doklady 15:3,
946-948.
- 1974 B.S. Tsirel'son,
"Not every Banach space contains an imbedding of
lp or c0."
(Russian) Funktsional. Anal. i Prilozhen. 8:2,
57-60.
[MR50#2871]
(English) 1974 Funct. Anal. and Appl. 8:2, 138-141.
[download]
- 1974 V.N. Sudakov, B.S. Tsirel'son,
"Extremal properties of half-spaces for spherically invariant
measures."
(Russian) Zapiski LOMI 41, 14-24.
[MR51#1932]
(English) 1978 Journal of Soviet Mathematics 9:1, 9-18.
- 1975 B.S. Tsirel'son,
"An example of a stochastic differential equation having no strong
solution."
(Russian) Teor. Verojatnost. i Primenen. 20:2,
427-430.
[MR51#11654]
(English) 1975 Theory Probab. Appl. 20:2, 416-418.
- 1975 B.S. Tsirel'son,
"Some properties of lacunary series and Gaussian measures that
are connected with uniform versions of the Egorov and Luzin
properties."
(Russian) Teor. Verojatnost. i Primenen. 20:3,
664-667.
[MR51#13574]
(English) 1975 Theory Probab. Appl. 20:3, 652-655.
- 1975 B.S. Tsirel'son,
"A continuous strong Markov process becomes a Feller process after
extending the metric."
(Russian) Teor. Verojatnost. i Primenen. 20:3, 688-689.
(English) 1975 Theory Probab. Appl. 20:3, 675-676.
- 1975 B.S. Tsirel'son,
"The density of the distribution of the maximum of a Gaussian
process."
(Russian) Teor. Verojatnost. i Primenen. 20:4,
865-873.
[MR52#15633]
(English) 1975 Theory Probab. Appl. 20:4, 847-856.
- 1976 B.S. Cirel'son, I.A. Ibragimov, V.N. Sudakov,
"Norms of Gaussian sample functions."
Lecture Notes in Mathematics (Springer) 550, 20-41.
[MR56#16756]
- 1976 B.S. Tsirel'son,
"A natural modification of a random process and its application to
stochastic functional series and Gaussian measures."
(Russian) Zapiski LOMI 55, 35-63.
[MR53#11727]
(English) 1981 Journal of Soviet Mathematics 16:2,
940-956.
- 1976 B.S. Tsirel'son,
"An inhomogeneous local interaction can create a "distant order"
in one-dimensional system."
(Russian) Teor. Verojatnost. i Primenen. 21:3, 681-683.
(English) 1976 Theory Probab. Appl. 21:3, 663-665.
- 1977 B.S. Tsirel'son,
"Addendum to the article on natural modification."
(Russian) Zapiski LOMI 72, 202-211.
[MR58#24499]
(English) 1983 Journal of Soviet Mathematics 23:3,
2363-2369.
- 1977 B.S. Cirel'son,
"Reliable storage of information in a system of unreliable
components with local interactions."
(Russian) In collection: "Locally interacting Markov processes in
biology" (ed. Dobrushin et al.), Pushchino (Moscow region),
24-38.
(English) 1978 Lecture Notes in Mathematics (Springer) 653,
15-30.
[MR58#20899]
- 1978 B.S. Tsirel'son,
"Whether a random local interaction can lead to the collective
behavior."
(Russian) Uspekhi Matem. Nauk 33:1 (199), 245-246.
- 1979 B.S. Tsirel'son,
"On formal description of quantum systems that are similar to
systems of stochastic automata" (Russian).
In collection: "Locally interacting Markov processes and their
application to biology"
(ed. Dobrushin et al.), Pushchino (Moscow region), 100-138.
- 1980 B.S. Cirel'son,
"Quantum generalizations of Bell's inequality."
Lett. Math. Phys. 4:2, 93-100.
[MR81e:81011]
[download]
- 1982 B.S. Tsirel'son,
"A geometrical approach to maximum likelihood estimation for
infinite-dimensional Gaussian location. I."
(Russian) Teor. Verojatnost. i Primenen. 27:2,
388-395.
[MR83i:62150]
(English) 1982 Theory Probab. Appl. 27:2, 411-418.
[download]
- 1983 E.M. Semënov, B.S. Tsirel'son,
"The problem of smallness of operator blocks in Lp
spaces" (Russian).
Zeitschrift für Analysis und ihre Anwendungen 2:4,
367-373.
[MR85d:47031]
- 1985 B.S. Tsirel'son,
"A geometric approach to maximum likelihood estimation for
infinite-dimensional Gaussian location. II."
(Russian) Teor. Verojatnost. i Primenen. 30:4,
772-779.
[MR87i:62152]
(English) 1985 Theory Probab. Appl. 30:4, 820-828.
[download]
- 1985 L.A. Khalfin, B.S. Tsirelson,
"Quantum and quasi-classical analogs of Bell inequalities."
Symposium on the Foundations of Modern Physics 1985 (ed. Lahti et
al.; World Sci. Publ.), 441-460.
[MR87i:81016,
the collection]
[download]
- 1985 B.S. Tsirel'son,
"Quantum analogues of the Bell inequalities. The case of two
spatially separated domains."
(Russian) Zapiski LOMI 142, 174-194.
[MR86g:81009]
(English) 1987 Journal of Soviet Mathematics 36:4,
557-570.
[download]
- 1986 M.A. Lifshitz, B.S. Tsirel'son,
"Small deviations of Gaussian fields."
(Russian) Teor. Verojatnost. i Primenen. 31:3, 632-633.
(English) 1986 Theory Probab. Appl. 31:3, 557-558.
- 1987 B.S. Tsirel'son,
"A geometric approach to maximum likelihood estimation for
infinite-dimensional Gaussian location. III."
(Russian) Teor. Verojatnost. i Primenen. 31:3,
537-549.
[MR88c:62140]
(English) 1987 Theory Probab. Appl. 31:3, 470-483.
[download]
- 1987 L.A. Khalfin, B.S. Tsirelson,
"A quantitative criterion of the applicability of the classical
description within the quantum theory."
Symposium on the Foundations of Modern Physics 1987 (ed. Lahti et
al.; World Sci. Publ.) 369-401.
[MR91i:81005, the collection]
[download]
- 1990 B.S. Tsirel'son,
"Stationary Gaussian processes with a compactly supported
correlation function."
(Russian) Zapiski LOMI 184, 279-288.
[MR92g:60052]
(English) 1994 Journal of Mathematical Sciences (New York) 68:4,
597-603.
- 1992 L.A. Khalfin, B.S. Tsirelson,
"Quantum/classical correspondence in the light of Bell's
inequalities."
Foundations of Physics 22:7, 879-948.
[MR93k:81017]
[download]
- 1992 A.M. Vershik, B.S. Tsirelson,
"Formulation of Bell type problems, and "noncommutative" convex
geometry."
Advances in Soviet Mathematics (AMS) 9, 95-114.
[MR93i:46130]
- 1993 B.S. Tsirelson,
"Some results and problems on quantum Bell-type inequalities."
Hadronic Journal Supplement 8:4, 329-345.
[MR1254597]
[MR1307405]
[download]
- 1993 B.S. Tsirelson,
"A new framework for old Bell inequalities."
Helvetica Physica Acta 66:7/8, 858-874.
[MR95e:81021]
- 1996 B.S. Tsirelson,
"Fine structure of EPR state and universal quantum correlation."
Annals of the Israel Physical Society 12, 83-87.
[download]
- 1996 L. Dubins, J. Feldman, M. Smorodinsky, B. Tsirelson,
"Decreasing sequences of sigma-fields and a measure change for
Brownian motion."
Annals of Probability 24:2, 882-904.
[MR97g:60106]
- 1996 J. Feldman, B. Tsirelson,
"Decreasing sequences of sigma-fields and a measure change for
Brownian motion. II."
Annals of Probability 24:2, 905-911.
[MR97g:60107]
- 1997 B. Tsirelson,
"Wave noise: a nonlinear analog of the white noise."
Nonlinear Analysis 30:1, 275-278.
[MR1489788]
- 1997 B. Tsirelson,
"Triple points: from non-Brownian filtrations to harmonic measures."
Geom. and Funct. Anal. 7:6, 1096-1142.
[MR2001g:60199]
[download]
- 1998 B.S. Tsirelson, A.M. Vershik,
"Examples of nonlinear continuous tensor products of measure spaces
and non-Fock factorizations."
Reviews in Mathematical Physics 10:1, 81-145.
[MR99c:60085]
- 1998 B. Tsirelson,
"Within and beyond the reach of Brownian innovation."
Proc. Internat. Congress Math. (Berlin 1998), Vol. 3,
311-320.
[MR99i:60082]
- 1999 O. Schramm, B. Tsirelson,
"Trees, not cubes: hypercontractivity, cosiness, and noise stability."
Electronic Communication in Probability 4:6,
39-49.
[MR2000k:60143]
(Also arXiv:math.PR/9902116.)
- 2002 B. Tsirelson,
"Spectral densities describing off-white noises."
Ann. Inst. Henri Poincare - Probab. Statist. 38:6,
1059-1069.
[MR2004b:60171]
(Also arXiv:math.PR/0104027.)
- 2003 B. Tsirelson,
"Non-isomorphic product systems."
In: Advances in Quantum Dynamics (eds. G. Price et al),
Contemporary Mathematics 335, AMS, pp. 273-328.
[MR2029632] (Also
arXiv:math.FA/0210457.)
- 2004 B. Tsirelson,
"Scaling limit, noise, stability."
In: Lecture Notes in Mathematics 1840, Springer, pp. 1-106.
[MR2005g:60066] (Also
arXiv:math.PR/0301237.)
- 2004 B. Tsirelson,
"Nonclassical stochastic flows and continuous products."
Probability Surveys 1, 173-298.
[MR2005m:60080] (Also
arXiv:math.PR/0402431.)
- 2004 M. Sodin, B. Tsirelson,
"Random complex zeroes, I. Asymptotic normality."
Israel Journal of Mathematics 144, 125-149 (2004).
[MR2005k:60079] (Also
arXiv:math.CV/0210090.)
- 2005 M. Sodin, B. Tsirelson,
"Random complex zeroes, III. Decay of the hole probability."
Israel Journal of Mathematics 147, 371-379.
[MR2007a:60028] (Also
arXiv:math.CV/0312258.)
- 2005 E. Glasner, B. Tsirelson, B. Weiss,
"The automorphism group of the Gaussian measure cannot act
pointwise."
Israel Journal of Mathematics 148, 305-329.
[MR2006i:37008] (Also
arXiv:math.DS/0311450.)
- 2006 M. Sodin, B. Tsirelson,
"Random complex zeroes, II. Perturbed lattice."
Israel Journal of Mathematics 152, 105-124 (2006).
[MR2007a:60027] (Also
arXiv:math.CV/0309449.)
- 2006 B. Tsirelson,
"Brownian local minima, random dense countable sets and random equivalence
classes."
Electronic Journal of Probability 11:7, 162-198.
[MR2007j:60136]
- 1994 B.S. Tsirelson,
"This non-axiomatizable quantum theory: From Hilbert's sixth problem
to the recent viewpoint of Gell-Mann and Hartle."
Preprint IHES/M/94/2, 19 pp.
[download]
- 1998 B. Tsirelson,
"Unitary Brownian motions are linearizable."
arXiv:math.PR/9806112 (also MSRI Preprint No. 1998-027).
- 1999 B. Tsirelson,
"Fourier-Walsh coefficients for a coalescing flow (discrete time)."
arXiv:math.PR/9903068.
- 1999 B. Tsirelson,
"Scaling limit of Fourier-Walsh coefficients (a framework)."
arXiv:math.PR/9903121.
- 1999 B. Tsirelson,
"Noise sensitivity on continuous products: an answer to an old question of
J. Feldman."
arXiv:math.PR/9907011.
- 1999 M. Landsberger, B. Tsirelson,
"Single unit auctions; still enigmatic."
SSRN 195128.
- 1999 B. Tsirelson,
"A non-Fock fermion toy model."
arXiv:hep-th/9912031.
- 2000 B. Tsirelson,
"From random sets to continuous tensor products: answers to three
questions of W. Arveson."
arXiv:math.FA/0001070.
- 2000 M. Landsberger, B. Tsirelson,
"Correlated signals against monotone equilibria."
SSRN 222308.
- 2000 B. Tsirelson,
"From slightly coloured noises to unitless product systems."
arXiv:math.FA/0006165.
- 2001 B. Tsirelson,
"Filtrations of random processes in the light of classification theory. I. A
topological zero-one law."
arXiv:math.PR/0107121.
- 2001 M. Landsberger, B. Tsirelson,
"Contests: a unique, mixed strategy equilibrium."
SSRN 288810.
- 2001 B. Tsirelson,
"The quantum algorithm of Kieu does not solve the Hilbert's tenth
problem."
arXiv:quant-ph/0111009.
- 2005 B. Tsirelson,
"Percolation, boundary, noise: an experiment."
arXiv:math.PR/0506269.
- 2006 B. Tsirelson,
"How often is the coordinate of a harmonic oscillator positive?"
arXiv:quant-ph/0611147.
- 2006 B. Tsirelson,
"Automorphisms of the type II1 Arveson system of Warren's
noise."
arXiv:math.OA/0612303.
- 2007 B. Tsirelson,
"Moderate deviations for log-like functions of stationary Gaussian
processes."
arXiv:math.PR/0703289.
- 2007 B. Tsirelson,
"Some extremal problems related to Bell-type inequalities."
arXiv:0706.1091.
- 2007 B. Tsirelson,
"Divergence of a stationary random vector field can be always
positive (a Weiss' phenomenon)."
arXiv:0709.1270.
- 2008 B. Tsirelson,
"Moderate deviations for random fields and random complex zeroes."
arXiv:0801.1050.
- 2008 M. Sodin, B. Tsirelson,
"Uniformly spread measures and vector fields."
arXiv:0801.2505.
- 2008 B. Tsirelson,
"On automorphisms of type II Arveson systems (probabilistic
approach), Version 2."
arXiv:math.OA/0411062.